So you want G on 1, D on 2-AND then Em on 4?
That part should be easy enough, I'm guessing it is the drums that are the issue (?)

I imagine it would be hard to find the realdrum/drum style that would cooperate. You may have to try a lot of variations, and even then it would probably be lucky to find something you already know/want.
But MIDI drum should be just as easy to input or create that pattern.

I think 'Push' implies the track is 'pushing ahead of the beat' and not 'pushing the track back'. If that makes sense.
I suppose 'Rush' could just as easily be used. The track rushes ahead .. but I think standard jazz slang would use push.

I do not work here, but the benefits are still awesome
Make your sound your own!